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Simplifying -7x + -14 + -1(x + -5) = 31 Reorder the terms: -7x + -14 + -1(-5 + x) = 31 -7x + -14 + (-5 * -1 + x * -1) = 31 -7x + -14 + (5 + -1x) = 31 Reorder the terms: -14 + 5 + -7x + -1x = 31 Combine like terms: -14 + 5 = -9 -9 + -7x + -1x = 31 Combine like terms: -7x + -1x = -8x -9 + -8x = 31 Solving -9 + -8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 31 + 9 -8x = 31 + 9 Combine like terms: 31 + 9 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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